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Título: Refined analysis of RGHWs of code pairs coming from Garcia-Stichtenoth's second tower
Autor: Geil, Olav
Martin, Stefano
Martínez-Peñas, Umberto
Ruano, Diego
Año del Documento: 2017
Descripción: Producción Científica
Documento Fuente: Journal of Algebra Combinatorics Discrete Structures and Applications. Volume 4, Issue 1, pages 37-47 (2017)
Resumen: Asymptotically good sequences of ramp secret sharing schemes were given in [arXiv:1502.05507] by using one-point algebraic geometric codes defined from asymptotically good towers of function fields. Their security is given by the relative generalized Hamming weights of the corresponding codes. In this paper we demonstrate how to obtain refined information on the RGHWs when the codimension of the codes is small. For general codimension, we give an improved estimate for the highest RGHW.
Revisión por Pares: SI
DOI: http://dx.doi.org/10.13069/jacodesmath.34390
Patrocinador: Supported by the Danish Council for Independent Research, grant DFF-4002-00367 and the Spanish Ministry of Economy, grant MTM2015-65764-C3-2-P
Version del Editor: http://dergipark.gov.tr/jacodesmath/issue/27044/284557
Idioma: eng
URI: http://uvadoc.uva.es/handle/10324/31729
Derechos: info:eu-repo/semantics/openAccess
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